Question 92099
identify the axis of symmetry, create a suitable table of value and sketch a gragh 
Y=X^2-5x+3
To determine the axis of symmetry you need to complete the square on the x-terms, as follows:
x^2-5x+(5/2)^2 = y-3+(5/2)^2
Factor to get:
(x-(5/2))^2 = y+(13/4)
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The axis of symmetry is x=5/2
{{{graph(400,300,-10,10,-10,10,x^2-5x+3)}}}

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and also Y=X^2+6x-2 
x^2+6x+9 = y+2+9
(x+3)^2 = y+11
x=-3 is the axis of symmetry.
{{{graph(400,300,-10,10,-10,10,x^2+6x-2)}}}
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Cheers,
Stan H.